El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$e^{5 x} \left(2 x + 3\right) = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{3}{2}$$
Solución numérica$$x_{1} = -62.0895139533901$$
$$x_{2} = -10.2144657507063$$
$$x_{3} = -88.0850749628399$$
$$x_{4} = -26.1129011708296$$
$$x_{5} = -74.0870562324439$$
$$x_{6} = -94.0844142402967$$
$$x_{7} = -98.0840205452271$$
$$x_{8} = -50.0932504664994$$
$$x_{9} = -8.28972451246013$$
$$x_{10} = -12.179003003524$$
$$x_{11} = -48.0940708431079$$
$$x_{12} = -78.086413803399$$
$$x_{13} = -16.1442505141608$$
$$x_{14} = -64.0890362122424$$
$$x_{15} = -66.088589228969$$
$$x_{16} = -54.0918061570387$$
$$x_{17} = -60.0900257414401$$
$$x_{18} = -32.1048384268778$$
$$x_{19} = -96.0842131203424$$
$$x_{20} = -72.0874057322706$$
$$x_{21} = -28.109766590757$$
$$x_{22} = -18.1343886765692$$
$$x_{23} = -68.088170125074$$
$$x_{24} = -52.0924982943617$$
$$x_{25} = -82.0858371469384$$
$$x_{26} = -22.1212567859071$$
$$x_{27} = -70.0877763704636$$
$$x_{28} = -76.0867261123995$$
$$x_{29} = -86.0853166526059$$
$$x_{30} = -102.083658939822$$
$$x_{31} = -38.0996160571076$$
$$x_{32} = -24.1166615935928$$
$$x_{33} = -46.0949691475587$$
$$x_{34} = -14.158095730554$$
$$x_{35} = -84.0855704051836$$
$$x_{36} = -44.0959570450017$$
$$x_{37} = -56.0911671400516$$
$$x_{38} = -104.08348896904$$
$$x_{39} = -58.0905753518738$$
$$x_{40} = -30.1071133836729$$
$$x_{41} = -6.71593547994907$$
$$x_{42} = -1.5$$
$$x_{43} = -92.0846244867949$$
$$x_{44} = -90.0848444955765$$
$$x_{45} = -36.101139784042$$
$$x_{46} = -20.1270007691003$$
$$x_{47} = -80.0861179015994$$
$$x_{48} = -34.1028661235919$$
$$x_{49} = -40.0982612220222$$
$$x_{50} = -42.0970486529442$$
$$x_{51} = -100.083835981658$$